I'm not sure I understand the question but I'll take a stab at it anyways.
1) We all lose weight differently but a lot of people will have their face thin out quickly as there is a massive amount of blood flow through the head. How many lbs of fat do you think you had in your face to begin with? Not much - so losing a trivial amount of fat relative to your overall goal can show up quickly.
2) Weight loss vs fat loss. Water masks fat loss. Muscle gain masks fat loss. It is difficult to determine actual fat loss without expensive testing procedures or access to somone who really knows how to handle calipers.
If you want to read about this I'll suggest the following articles.
Here
Here